852480562752 has 1792 divisors, whose sum is σ = 3439759196160. Its totient is φ = 203166351360.

The previous prime is 852480562729. The next prime is 852480562793. The reversal of 852480562752 is 257265084258.

852480562752 is a `hidden beast` number, since 8 + 5 + 2 + 4 + 8 + 0 + 5 + 627 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6712445313 + ... + 6712445439.

It is an arithmetic number, because the mean of its divisors is an integer number (1919508480).

Almost surely, 2^852480562752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 852480562752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719879598080).

852480562752 is an abundant number, since it is smaller than the sum of its proper divisors (2587278633408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

852480562752 is a wasteful number, since it uses less digits than its factorization.

852480562752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 852480562752 in words is "eight hundred fifty-two billion, four hundred eighty million, five hundred sixty-two thousand, seven hundred fifty-two".